Description
Position a rectangle around a supplied fractional anchor, with nonnegative dimensions and arbitrary explicit fractions; no CSS writing-mode interpretation.
Planar geometry operates on two-coordinate Cartesian points and explicit shape boundaries. A closed rectangle includes its edges, while a segment parameter locates a point along a supporting line. Signed cross products, areas and axis gaps preserve orientation or direction information that a magnitude alone would lose.
Position a rectangle around a supplied fractional anchor, with nonnegative dimensions and arbitrary explicit fractions; no CSS writing-mode interpretation.
When to use this tool
Use this tool to position a rectangle around a supplied fractional anchor, with nonnegative dimensions and arbitrary explicit fractions; no CSS writing-mode interpretation.
How to use the tool and how it works
- Enter anchor, width, height, fractionX, fractionY using the input definitions below.
- Run the operation. Resolve malformed-input errors before interpreting the result.
- Read result.rectangle. Interpret signs, units, ordering and null values using the rules below.
Set minX = anchorX−width×fractionX and minY = anchorY−height×fractionY, then add width and height for the high corner. Width and height must be nonnegative.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| anchor | Anchor point [x,y] in the rectangle’s coordinate units. | Dense list of at most 128 finite numbers, subject to the stated integer/shape rules. |
| width | Nonnegative rectangle width in coordinate units. | Finite number satisfying the stated comparisons. |
| height | Nonnegative rectangle height in coordinate units. | Finite number satisfying the stated comparisons. |
| fractionX | Horizontal anchor fraction; it may lie outside [0,1]. | Finite number satisfying the stated comparisons. |
| fractionY | Vertical anchor fraction; it may lie outside [0,1]. | Finite number satisfying the stated comparisons. |
| Output field | Interpretation |
|---|---|
| result | Object containing the fields below. |
| result.rectangle | Resulting [minX,minY,maxX,maxY] anchor-positioned rectangle. |
{
"input": {
"anchor": [
10,
20
],
"width": 4,
"height": 6,
"fractionX": 0.5,
"fractionY": 0.5
},
"output": {
"result": {
"rectangle": [
8,
17,
12,
23
]
}
}
}Limitations and assumptions
- Fractions are not restricted to [0,1]; y-axis direction, physical units and anchor semantics are caller conventions.
- Point components and rectangle bounds are finite within ±1,000,000,000. Rectangles use [minX,minY,maxX,maxY] with ordered inclusive bounds. Floating arithmetic is used without an implicit robustness tolerance.
- Every declared top-level input is required and unknown fields are rejected. Ordinary strings are limited to 8,192 UTF-16 code units and lists to 128 entries, with tighter operation-specific bounds where stated. JSON text has bounded nesting and node counts.
- Numeric outputs must be finite and within the absolute safe-integer magnitude; exact larger integers use decimal text. Source positions are zero-based UTF-16 offsets and span ends are exclusive unless a different convention is explicitly stated.
Alternative or Complementary methods
Choose the boundary and coordinate convention explicitly. Use robust geometric predicates or a topology-aware library when near-coincidence, holes, invalid polygons or geographic coordinates matter.
References
Similar or alternative tools
- Polygon Rectangle Clip
Clip an ordered planar polygon against four rectangle half-planes, preserving algorithm order; floating boundary arithmetic, no polygon topology repair.
- Polyline Rectangle Clip
Clip each polyline segment independently, retaining source-segment indexes and boundary point intersections instead of inventing path continuity.